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Simplifying 4(x + -4) + -14 = 3(x + -7) + 6 Reorder the terms: 4(-4 + x) + -14 = 3(x + -7) + 6 (-4 * 4 + x * 4) + -14 = 3(x + -7) + 6 (-16 + 4x) + -14 = 3(x + -7) + 6 Reorder the terms: -16 + -14 + 4x = 3(x + -7) + 6 Combine like terms: -16 + -14 = -30 -30 + 4x = 3(x + -7) + 6 Reorder the terms: -30 + 4x = 3(-7 + x) + 6 -30 + 4x = (-7 * 3 + x * 3) + 6 -30 + 4x = (-21 + 3x) + 6 Reorder the terms: -30 + 4x = -21 + 6 + 3x Combine like terms: -21 + 6 = -15 -30 + 4x = -15 + 3x Solving -30 + 4x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -30 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 1x = -15 + 0 -30 + 1x = -15 Add '30' to each side of the equation. -30 + 30 + 1x = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -15 + 30 1x = -15 + 30 Combine like terms: -15 + 30 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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