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Simplifying 6x + -15 = 7 + 4(4x + -4) Reorder the terms: -15 + 6x = 7 + 4(4x + -4) Reorder the terms: -15 + 6x = 7 + 4(-4 + 4x) -15 + 6x = 7 + (-4 * 4 + 4x * 4) -15 + 6x = 7 + (-16 + 16x) Combine like terms: 7 + -16 = -9 -15 + 6x = -9 + 16x Solving -15 + 6x = -9 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 6x + -16x = -9 + 16x + -16x Combine like terms: 6x + -16x = -10x -15 + -10x = -9 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -10x = -9 + 0 -15 + -10x = -9 Add '15' to each side of the equation. -15 + 15 + -10x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = -9 + 15 -10x = -9 + 15 Combine like terms: -9 + 15 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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