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Simplifying 4(x + -4) + -48 = 6(6 + -1x) + -3(x + -10) Reorder the terms: 4(-4 + x) + -48 = 6(6 + -1x) + -3(x + -10) (-4 * 4 + x * 4) + -48 = 6(6 + -1x) + -3(x + -10) (-16 + 4x) + -48 = 6(6 + -1x) + -3(x + -10) Reorder the terms: -16 + -48 + 4x = 6(6 + -1x) + -3(x + -10) Combine like terms: -16 + -48 = -64 -64 + 4x = 6(6 + -1x) + -3(x + -10) -64 + 4x = (6 * 6 + -1x * 6) + -3(x + -10) -64 + 4x = (36 + -6x) + -3(x + -10) Reorder the terms: -64 + 4x = 36 + -6x + -3(-10 + x) -64 + 4x = 36 + -6x + (-10 * -3 + x * -3) -64 + 4x = 36 + -6x + (30 + -3x) Reorder the terms: -64 + 4x = 36 + 30 + -6x + -3x Combine like terms: 36 + 30 = 66 -64 + 4x = 66 + -6x + -3x Combine like terms: -6x + -3x = -9x -64 + 4x = 66 + -9x Solving -64 + 4x = 66 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -64 + 4x + 9x = 66 + -9x + 9x Combine like terms: 4x + 9x = 13x -64 + 13x = 66 + -9x + 9x Combine like terms: -9x + 9x = 0 -64 + 13x = 66 + 0 -64 + 13x = 66 Add '64' to each side of the equation. -64 + 64 + 13x = 66 + 64 Combine like terms: -64 + 64 = 0 0 + 13x = 66 + 64 13x = 66 + 64 Combine like terms: 66 + 64 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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