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Simplifying 4(2x + -7) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7) Reorder the terms: 4(-7 + 2x) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7) (-7 * 4 + 2x * 4) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7) (-28 + 8x) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7) -28 + 8x + (5 * -8 + -1x * -8) = 3(2x + 4) + -5(x + 7) -28 + 8x + (-40 + 8x) = 3(2x + 4) + -5(x + 7) Reorder the terms: -28 + -40 + 8x + 8x = 3(2x + 4) + -5(x + 7) Combine like terms: -28 + -40 = -68 -68 + 8x + 8x = 3(2x + 4) + -5(x + 7) Combine like terms: 8x + 8x = 16x -68 + 16x = 3(2x + 4) + -5(x + 7) Reorder the terms: -68 + 16x = 3(4 + 2x) + -5(x + 7) -68 + 16x = (4 * 3 + 2x * 3) + -5(x + 7) -68 + 16x = (12 + 6x) + -5(x + 7) Reorder the terms: -68 + 16x = 12 + 6x + -5(7 + x) -68 + 16x = 12 + 6x + (7 * -5 + x * -5) -68 + 16x = 12 + 6x + (-35 + -5x) Reorder the terms: -68 + 16x = 12 + -35 + 6x + -5x Combine like terms: 12 + -35 = -23 -68 + 16x = -23 + 6x + -5x Combine like terms: 6x + -5x = 1x -68 + 16x = -23 + 1x Solving -68 + 16x = -23 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -68 + 16x + -1x = -23 + 1x + -1x Combine like terms: 16x + -1x = 15x -68 + 15x = -23 + 1x + -1x Combine like terms: 1x + -1x = 0 -68 + 15x = -23 + 0 -68 + 15x = -23 Add '68' to each side of the equation. -68 + 68 + 15x = -23 + 68 Combine like terms: -68 + 68 = 0 0 + 15x = -23 + 68 15x = -23 + 68 Combine like terms: -23 + 68 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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