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Simplifying -2(x + 4) + -10(25 + -1x + 4) = 3 + -3x + -4(x + 1) Reorder the terms: -2(4 + x) + -10(25 + -1x + 4) = 3 + -3x + -4(x + 1) (4 * -2 + x * -2) + -10(25 + -1x + 4) = 3 + -3x + -4(x + 1) (-8 + -2x) + -10(25 + -1x + 4) = 3 + -3x + -4(x + 1) Reorder the terms: -8 + -2x + -10(25 + 4 + -1x) = 3 + -3x + -4(x + 1) Combine like terms: 25 + 4 = 29 -8 + -2x + -10(29 + -1x) = 3 + -3x + -4(x + 1) -8 + -2x + (29 * -10 + -1x * -10) = 3 + -3x + -4(x + 1) -8 + -2x + (-290 + 10x) = 3 + -3x + -4(x + 1) Reorder the terms: -8 + -290 + -2x + 10x = 3 + -3x + -4(x + 1) Combine like terms: -8 + -290 = -298 -298 + -2x + 10x = 3 + -3x + -4(x + 1) Combine like terms: -2x + 10x = 8x -298 + 8x = 3 + -3x + -4(x + 1) Reorder the terms: -298 + 8x = 3 + -3x + -4(1 + x) -298 + 8x = 3 + -3x + (1 * -4 + x * -4) -298 + 8x = 3 + -3x + (-4 + -4x) Reorder the terms: -298 + 8x = 3 + -4 + -3x + -4x Combine like terms: 3 + -4 = -1 -298 + 8x = -1 + -3x + -4x Combine like terms: -3x + -4x = -7x -298 + 8x = -1 + -7x Solving -298 + 8x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -298 + 8x + 7x = -1 + -7x + 7x Combine like terms: 8x + 7x = 15x -298 + 15x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 -298 + 15x = -1 + 0 -298 + 15x = -1 Add '298' to each side of the equation. -298 + 298 + 15x = -1 + 298 Combine like terms: -298 + 298 = 0 0 + 15x = -1 + 298 15x = -1 + 298 Combine like terms: -1 + 298 = 297 15x = 297 Divide each side by '15'. x = 19.8 Simplifying x = 19.8
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