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Simplifying 4(6x + -7) + 40 = -8(x + -4) + 15x + -3 Reorder the terms: 4(-7 + 6x) + 40 = -8(x + -4) + 15x + -3 (-7 * 4 + 6x * 4) + 40 = -8(x + -4) + 15x + -3 (-28 + 24x) + 40 = -8(x + -4) + 15x + -3 Reorder the terms: -28 + 40 + 24x = -8(x + -4) + 15x + -3 Combine like terms: -28 + 40 = 12 12 + 24x = -8(x + -4) + 15x + -3 Reorder the terms: 12 + 24x = -8(-4 + x) + 15x + -3 12 + 24x = (-4 * -8 + x * -8) + 15x + -3 12 + 24x = (32 + -8x) + 15x + -3 Reorder the terms: 12 + 24x = 32 + -3 + -8x + 15x Combine like terms: 32 + -3 = 29 12 + 24x = 29 + -8x + 15x Combine like terms: -8x + 15x = 7x 12 + 24x = 29 + 7x Solving 12 + 24x = 29 + 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. 12 + 24x + -7x = 29 + 7x + -7x Combine like terms: 24x + -7x = 17x 12 + 17x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 17x = 29 + 0 12 + 17x = 29 Add '-12' to each side of the equation. 12 + -12 + 17x = 29 + -12 Combine like terms: 12 + -12 = 0 0 + 17x = 29 + -12 17x = 29 + -12 Combine like terms: 29 + -12 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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