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Simplifying 4(x + 2) + -3x + 11 = 2(3x + -2) + 3(x + 4) Reorder the terms: 4(2 + x) + -3x + 11 = 2(3x + -2) + 3(x + 4) (2 * 4 + x * 4) + -3x + 11 = 2(3x + -2) + 3(x + 4) (8 + 4x) + -3x + 11 = 2(3x + -2) + 3(x + 4) Reorder the terms: 8 + 11 + 4x + -3x = 2(3x + -2) + 3(x + 4) Combine like terms: 8 + 11 = 19 19 + 4x + -3x = 2(3x + -2) + 3(x + 4) Combine like terms: 4x + -3x = 1x 19 + 1x = 2(3x + -2) + 3(x + 4) Reorder the terms: 19 + 1x = 2(-2 + 3x) + 3(x + 4) 19 + 1x = (-2 * 2 + 3x * 2) + 3(x + 4) 19 + 1x = (-4 + 6x) + 3(x + 4) Reorder the terms: 19 + 1x = -4 + 6x + 3(4 + x) 19 + 1x = -4 + 6x + (4 * 3 + x * 3) 19 + 1x = -4 + 6x + (12 + 3x) Reorder the terms: 19 + 1x = -4 + 12 + 6x + 3x Combine like terms: -4 + 12 = 8 19 + 1x = 8 + 6x + 3x Combine like terms: 6x + 3x = 9x 19 + 1x = 8 + 9x Solving 19 + 1x = 8 + 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. 19 + 1x + -9x = 8 + 9x + -9x Combine like terms: 1x + -9x = -8x 19 + -8x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + -8x = 8 + 0 19 + -8x = 8 Add '-19' to each side of the equation. 19 + -19 + -8x = 8 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 8 + -19 -8x = 8 + -19 Combine like terms: 8 + -19 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375
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